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Finding the Fourth Proportional to 652.65, 898.45 and 505.23

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Solution

The fourth proportional to 652.65, 898.45 and 505.23 is: 695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.65 : 898.45 = 505.23 : x
  2. Step 2: Convert to fraction form
    652.65/898.45 = 505.23/x
  3. Step 3: Cross multiply
    652.65x = 898.45 × 505.23
  4. Step 4: Simplify right side
    652.65x = 453,923.89
  5. Step 5: Solve for x
    x = 453,923.89/652.65
  6. Step 6: Final answer
    x = 695.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.